Roland Badeau

 

Postal address

Télécom ParisTech / TSI

37 / 39 rue Dareau

75014 Paris, FRANCE

 

E-mail address

firstname.lastname (at) telecom-paristech.fr

By the end of the course, the student will have grasped the fundamentals of representation and analysis of discrete signals and systems, and he or she will have an idea of random processes. Practical applications centered around the job of the engineer will, on the one hand, illustrate the components presented in theoretical sessions and, on the other hand, lead to practical work using Matlab.

The purpose of this course is to acquire and deepen key themes of digital signal processing, such as filter design, filter banks, time-frequency representations or adaptive processing. The pedagogy is based on a theoretical presentation followed by an application under Matlab. The educational format is common to the study of the five themes, mixing theoretical and practical aspects.

From a basic methodological and theoretical standpoint, this course aims to cover the areas of speech processing and audio frequency signals. These currently give rise to numerous developments, most of which touch our daily lives either at leisure (e.g. in music, the home studio, multimedia, the home cinema or man-machine interaction, etc.), or during the course of our professional work.

By means of two 30-hour-long mini-projects, this session investigates applications related to each of the signal processing specialisations chosen during the course. These applications are, for example, sound effects using a phase vocoder, separation of two (human) speakers, or object following by particular filtering.

This course deals with continuous optimization, which is used in many areas of engineering science. The methods are presented both theoretically and by algorithms. We address convex optimization, the case of constraints in equality, constraints in inequality, and duality. Algorithms for solving systems of linear equations are the object of a preliminary introduction.

Various digital techniques are used in audio signal processing. They address sound production, as well as post-production, or more generally, any situation where a sound signal has to be modified in the context of a multimedia application. This course presents advanced techniques dedicated to audio signal processing.